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| Research on resonance and cancellation speed of simply supported girder bridge of high-speed railway based on free vibration |
| Received:April 24, 2022 Revised:July 15, 2022 |
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| DOI：10.7511/jslx20220424005 |
| KeyWord:high-speed rail simply supported beam free vibration resonance vibration reduction damping |
| Author | Institution |
| 杨宏印 |
武汉工程大学 土木工程与建筑学院, 武汉 ;桥梁结构健康与安全国家重点实验室, 武汉 |
| 吴楠昊 |
武汉工程大学 土木工程与建筑学院, 武汉 |
| 曹鸿猷 |
武汉理工大学 土木工程与建筑学院, 武汉 |
| 王波 |
桥梁结构健康与安全国家重点实验室, 武汉 |
| 刘章军 |
武汉工程大学 土木工程与建筑学院, 武汉 |
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| Abstract: |
| To study the vibration of simply supported beams caused by high-speed trains,using the limit conditions of the analytical expressions of the moving load,the resonance and cancellation speeds of the beam are derived.From the perspective of the free vibration amplitude,it is proved that the beam vibration is mainly contributed to by the first-order mode,and with the increase of vehicle speed,the contribution of the second-order mode to the free vibration gradually increases,while the higher-order modes don’t make a contribution.Increasing the damping of the bridge can suppress the vibration,but it amplifies the free vibration after the train leaves the bridge.Taking two simply supported beam bridges of 20 m and 32 m as examples,through the amplitude and phase of the free vibration generated by the axle load,it is clarified that at a certain speed,the superposition,cancellation or suppression of free vibration is the main cause of resonance and cancellation.When the resonance speed coincides with the cancellation speed,the cancellation occurs before the resonance.Comparing the analytical value of the moving load with the finite element result of the vehicle-rail-bridge coupling model,the results show that the moving load model can effectively predict the displacement time history of the bridge,but when analyzing the acceleration response of the bridge,it is necessary to consider the vehicle-rail-bridge dynamic coupling effect. |
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